54215513241600 has 864 divisors, whose sum is σ = 185069997730800. Its totient is φ = 13997349273600.

The previous prime is 54215513241569. The next prime is 54215513241611. The reversal of 54215513241600 is 614231551245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42060133756 + ... + 42060135044.

Almost surely, 2^{54215513241600} is an apocalyptic number.

54215513241600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54215513241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534998865400).

54215513241600 is an abundant number, since it is smaller than the sum of its proper divisors (130854484489200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54215513241600 is a wasteful number, since it uses less digits than its factorization.

54215513241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 54215513241600 its reverse (614231551245), we get a palindrome (54829744792845).

The spelling of 54215513241600 in words is "fifty-four trillion, two hundred fifteen billion, five hundred thirteen million, two hundred forty-one thousand, six hundred".